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42175640 = 23513217367
BaseRepresentation
bin1010000011100…
…0110010011000
32221100202002202
42200320302120
541244110030
64103545332
71021326023
oct240706230
987322082
1042175640
1121897201
121215b248
138978c00
14585c1ba
153a81745
hex2838c98

42175640 has 96 divisors (see below), whose sum is σ = 109097280. Its totient is φ = 14616576.

The previous prime is 42175631. The next prime is 42175663. The reversal of 42175640 is 4657124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114737 + ... + 115103.

It is an arithmetic number, because the mean of its divisors is an integer number (1136430).

Almost surely, 242175640 is an apocalyptic number.

42175640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42175640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54548640).

42175640 is an abundant number, since it is smaller than the sum of its proper divisors (66921640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42175640 is a wasteful number, since it uses less digits than its factorization.

42175640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 42175640 is about 6494.2774809828. The cubic root of 42175640 is about 348.0865376896.

The spelling of 42175640 in words is "forty-two million, one hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 367 442 520 676 680 734 845 884 1105 1352 1468 1690 1768 1835 2210 2873 2936 3380 3670 4420 4771 5746 6239 6760 7340 8840 9542 11492 12478 14365 14680 19084 22984 23855 24956 28730 31195 38168 47710 49912 57460 62023 62390 81107 95420 114920 124046 124780 162214 190840 248092 249560 310115 324428 405535 496184 620230 648856 811070 1054391 1240460 1622140 2108782 2480920 3244280 4217564 5271955 8435128 10543910 21087820 42175640